114253033440 has 288 divisors, whose sum is σ = 450861253920. Its totient is φ = 24106070016.

The previous prime is 114253033429. The next prime is 114253033463. The reversal of 114253033440 is 44330352411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114253033398 and 114253033407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118926 + ... + 492594.

It is an arithmetic number, because the mean of its divisors is an integer number (1565490465).

Almost surely, 2^114253033440 is an apocalyptic number.

114253033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114253033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225430626960).

114253033440 is an abundant number, since it is smaller than the sum of its proper divisors (336608220480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114253033440 is a wasteful number, since it uses less digits than its factorization.

114253033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373714 (or 373699 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 114253033440 its reverse (44330352411), we get a palindrome (158583385851).

The spelling of 114253033440 in words is "one hundred fourteen billion, two hundred fifty-three million, thirty-three thousand, four hundred forty".